Torus Actions, Fixed-Point Formulas, Elliptic Genera and positive curvature

Abstract

We study fixed points of smooth torus actions on closed manifolds using fixed point formulas and equivariant elliptic genera. We also give applications to positively curved Riemannian manifolds with symmetry.

31 pages v2: two references added, v3: minor changes, to appear in the special issue "Metric Riemannian Geometry" of Frontiers of Mathematics in China